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3.6 · Q7

Q.If the demand and supply curve for computers is D=100−6PD = 100 - 6P, S=28+3PS = 28 + 3P respectively where PP is the price of computers, what is the quantity of computers bought and sold at equilibrium?

Puducherry CbseNCERTSubjective· 3mImportance★★★★★est
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Set demand equal to supply, solve for the market price P=8P=8, then substitute to get the equilibrium quantity Q=52Q=52 computers.

Market equilibrium: demand == supply, i.e. D(P)=S(P)D(P)=S(P); solve for PP, then Q=D(P)=S(P)Q=D(P)=S(P).

  1. Given D=100−6PD=100-6P and S=28+3PS=28+3P.
  2. Set D=SD=S: 100−6P=28+3P100-6P=28+3P.
  3. 100−28=3P+6P⇒72=9P⇒P=8100-28=3P+6P\Rightarrow 72=9P\Rightarrow P=8. …

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